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Lifting Force given Friction Force due to Rolling Resistance Formula

GoLifting Force Provided by Wing Body of Vehicle Formula

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Lifting Force of Aircraft provided by the wing-body of the vehicle. Lift is defined as the component of the aerodynamic force that is perpendicular to the flow direction. Check FAQs

L Aircraft = (((M Aircraft \cdot [g] \cdot \cos (Φ)) - (\frac{F Friction}{μ r})))

L_Aircraft - Lifting Force of Aircraft?M_Aircraft - Mass Aircraft?Φ - Angle between Runway and Horizontal Plane?F_Friction - Force of Friction?μ_r - Coefficient of Rolling Friction?[g] - Gravitational acceleration on Earth?

Lifting Force given Friction Force due to Rolling Resistance Example

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Here is how the Lifting Force given Friction Force due to Rolling Resistance equation looks like with Values.

Here is how the Lifting Force given Friction Force due to Rolling Resistance equation looks like with Units.

Here is how the Lifting Force given Friction Force due to Rolling Resistance equation looks like.

1588.7886 = (((50000 \cdot 9.8066 \cdot \cos (5)) - (\frac{4125}{0.03})))

1588.7886kN = (((50000kg \cdot 9.8066m/s² \cdot \cos (5)) - (\frac{4125kN}{0.03})))

1588.7886 = (((50000 \cdot 9.8066 \cdot \cos (5)) - (\frac{4125}{0.03})))

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Lifting Force given Friction Force due to Rolling Resistance Solution

Follow our step by step solution on how to calculate Lifting Force given Friction Force due to Rolling Resistance?

FIRST Step Consider the formula

L Aircraft = (((M Aircraft \cdot [g] \cdot \cos (Φ)) - (\frac{F Friction}{μ r})))

Next Step Substitute values of Variables

∴

L Aircraft = (((50000kg \cdot [g] \cdot \cos (5)) - (\frac{4125kN}{0.03})))

Next Step Substitute values of Constants

∴

L Aircraft = (((50000kg \cdot 9.8066m/s² \cdot \cos (5)) - (\frac{4125kN}{0.03})))

Next Step Prepare to Evaluate

∴

L Aircraft = (((50000 \cdot 9.8066 \cdot \cos (5)) - (\frac{4125}{0.03})))

Next Step Evaluate

∴

L Aircraft = 1588788.55364738N

Next Step Convert to Output's Unit

∴

L Aircraft = 1588.78855364738kN

LAST Step Rounding Answer

∴

L Aircraft = 1588.7886kN

Lifting Force given Friction Force due to Rolling Resistance Formula Elements

Variables

Constants

Functions

Lifting Force of Aircraft

Lifting Force of Aircraft provided by the wing-body of the vehicle. Lift is defined as the component of the aerodynamic force that is perpendicular to the flow direction.

Symbol: L_Aircraft

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Lifting Force of Aircraft

Mass Aircraft

Mass Aircraft is the quantity of matter in a body regardless of its volume or of any forces acting on it.

Symbol: M_Aircraft

Measurement: WeightUnit: kg

Note: Value can be positive or negative.

Formulas to find Mass Aircraft

Angle between Runway and Horizontal Plane

Angle between Runway and Horizontal Plane is denoted by Φ.

Symbol: Φ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Angle between Runway and Horizontal Plane

Force of Friction

Force of friction, used in merchant circle where the friction force is equal to the product of coefficient of friction and normal force.

Symbol: F_Friction

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Force of Friction

Coefficient of Rolling Friction

Coefficient of Rolling Friction is the ratio of the force of rolling friction to the total weight of the object.

Symbol: μ_r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Coefficient of Rolling Friction

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Lifting Force of Aircraft

Go Lifting Force Provided by Wing Body of Vehicle

L Aircraft = 0.5 \cdot ρ \cdot V^{2} \cdot S \cdot C l

Other formulas in Aircraft Runway Length Estimation category

Go Desired Take off Weight

D = PYL + OEW + FW

Go Payload carried when desired take-off weight is considered

PYL = D - OEW - FW

Go Operating Empty Weight when Desired Take-off Weight is considered

OEW = D - PYL - FW

Go Fuel Weight to be Carried given Desired Takeoff Weight

FW = D - PYL - OEW

How to Evaluate Lifting Force given Friction Force due to Rolling Resistance?

Lifting Force given Friction Force due to Rolling Resistance evaluator uses Lifting Force of Aircraft = (((Mass Aircraft*[g]*cos(Angle between Runway and Horizontal Plane))-(Force of Friction/Coefficient of Rolling Friction))) to evaluate the Lifting Force of Aircraft, Lifting Force given Friction Force due to Rolling Resistance is defined as force that directly opposes weight of airplane and holds airplane in air. Lifting Force of Aircraft is denoted by L_Aircraft symbol.

How to evaluate Lifting Force given Friction Force due to Rolling Resistance using this online evaluator? To use this online evaluator for Lifting Force given Friction Force due to Rolling Resistance, enter Mass Aircraft (M_Aircraft), Angle between Runway and Horizontal Plane (Φ), Force of Friction (F_Friction) & Coefficient of Rolling Friction (μ_r) and hit the calculate button.

FAQs on Lifting Force given Friction Force due to Rolling Resistance

What is the formula to find Lifting Force given Friction Force due to Rolling Resistance?

The formula of Lifting Force given Friction Force due to Rolling Resistance is expressed as Lifting Force of Aircraft = (((Mass Aircraft*[g]*cos(Angle between Runway and Horizontal Plane))-(Force of Friction/Coefficient of Rolling Friction))). Here is an example- 1.588789 = (((50000*[g]*cos(5))-(4125000/0.03))).

How to calculate Lifting Force given Friction Force due to Rolling Resistance?

With Mass Aircraft (M_Aircraft), Angle between Runway and Horizontal Plane (Φ), Force of Friction (F_Friction) & Coefficient of Rolling Friction (μ_r) we can find Lifting Force given Friction Force due to Rolling Resistance using the formula - Lifting Force of Aircraft = (((Mass Aircraft*[g]*cos(Angle between Runway and Horizontal Plane))-(Force of Friction/Coefficient of Rolling Friction))). This formula also uses Gravitational acceleration on Earth constant(s) and Cosine (cos) function(s).

What are the other ways to Calculate Lifting Force of Aircraft?

Here are the different ways to Calculate Lifting Force of Aircraft-

Lifting Force of Aircraft=0.5*Density Altitude for flying*Vehicle Speed^2*Aircraft Gross Wing Area*Lift Coefficient

Can the Lifting Force given Friction Force due to Rolling Resistance be negative?

Yes, the Lifting Force given Friction Force due to Rolling Resistance, measured in Force can be negative.

Which unit is used to measure Lifting Force given Friction Force due to Rolling Resistance?

Lifting Force given Friction Force due to Rolling Resistance is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Lifting Force given Friction Force due to Rolling Resistance can be measured.

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Lifting Force given Friction Force due to Rolling Resistance Formula

​GoLifting Force Provided by Wing Body of Vehicle Formula

Lifting Force given Friction Force due to Rolling Resistance Example

Lifting Force given Friction Force due to Rolling Resistance Solution

Lifting Force given Friction Force due to Rolling Resistance Formula Elements

Other Formulas to find Lifting Force of Aircraft

Other formulas in Aircraft Runway Length Estimation category

How to Evaluate Lifting Force given Friction Force due to Rolling Resistance?

FAQs on Lifting Force given Friction Force due to Rolling Resistance

Variable Name

GoLifting Force Provided by Wing Body of Vehicle Formula